Information on Result #720781
Linear OA(9127, 751, F9, 45) (dual of [751, 624, 46]-code), using construction XX applied to C1 = C([723,37]), C2 = C([0,39]), C3 = C1 + C2 = C([0,37]), and C∩ = C1 ∩ C2 = C([723,39]) based on
- linear OA(9115, 728, F9, 43) (dual of [728, 613, 44]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,37}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(9106, 728, F9, 40) (dual of [728, 622, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(9121, 728, F9, 45) (dual of [728, 607, 46]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−5,−4,…,39}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(9100, 728, F9, 38) (dual of [728, 628, 39]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,37], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(95, 16, F9, 4) (dual of [16, 11, 5]-code), using
- extended algebraic-geometric code AGe(F,11P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OA(91, 7, F9, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
- Reed–Solomon code RS(8,9) [i]
- discarding factors / shortening the dual code based on linear OA(91, 9, F9, 1) (dual of [9, 8, 2]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.